Based　on　fatigue　damage　mechanics,　the　computing　time　of　time-dependent　damage　was　defined　with　tension-compression　strain.　rate　and　cycle　period.　A　time-dependent　fatigue　damage　model　without　hold-time　was　proposed　based　on　the　linear　damage　rule　and　fatigue　tests　at　elevated　temperature.　The　fatigue　damage　model　at　elevated　temperature　was　divided　into　pure　fatigue　damage,　damage　caused　by　the　time-dependent　factors　and　interactive　damage.　The　results　of　life　prediction　with　the　proposed　damage　model　were　within　a　factor　of　2　for　2.25Cr-1Mo　steel　and　2.5　for　304　stainless　steel　under　uniaxial　and　multiaxial　loading　at　elevated　temperature.　(C)　2008　Elsevier　Ltd.　All　rights　reserved.